I was wondering if it is possible to replace this:
function y = par(Z1,Z2)
y=1./(1./Z1+1./Z2);
return;
with some sort of "operator overloading" as in the language C++. So lets say it would become possible to call the function "Z1#Z2" instead of "par(Z1,Z2)"
Here's an example:
classdef myClass < double
methods
%// constructor
function this = myClass(varargin)
this = this@double(varargin{:});
end
%// Special syntax for harmonic mean
function new = mldivide(this, other)
new = this.*other./(this + other);
end
end
end
Usage:
>> Z1 = myClass(rand(4));
>> Z2 = myClass(rand(4));
>> Z3 = Z1 \ Z2; %// calls your harmonic mean function
MATLAB does support operator overloading, but not in the way that you're envisioning. Operator overloading can only be performed on your own custom classes that you create in MATLAB.
Check out http://www.mathworks.com/help/matlab/matlab_oop/implementing-operators-for-your-class.html. If you seriously want to do operator overloading, you will need to learn about MATLAB's Object Oriented Programming paradigm first.
Check this link out: http://www.mathworks.com/help/matlab/object-oriented-programming.html
Z1andZ2would need to be of a custom class, obviously (as in good-practice C++). Start reading about MATLAB's OOP capabilities here. The question you should ask yourself is: is replacing this one function by some nicer syntax really worth the trouble of writing the class?Z1.*Z2./(Z1+Z2)#would need to be a valid and overloadable operator in matlab, which it is not. The same is true for C++ though I'm not entirely sure of that.#is not a C++ operator, let alone an overloadable one :)